Saturation and Resonance in a Class of Non-linear Systems Under Bounded Noise Excitation
Rong Haiwu(1),Wang Xiangdong(1),Xu Wei(2),Fang Tong(2)
(1 Foshan University, Guangdong 528000, China) (2 Northwestern Polytechnical University, Xi'an 710072, China)

Abstract: The principal resonance of a two-degree-of-freedom non-linear osci llator to bounded noise excitations is investigated, the phenomenon of random saturation is found. The method of multiple scales is used to separate the rapidly varying items in the modulation equations, and the linearization process is car ried out to determine the steady state moments of the amplitude of the system response. Some suggestions for system optimum design are proposed. The theoretical analyses are verified with numerical simulation.
Keywords: two-degree-of-freedom non-linear system, principal resonance, ra ndom saturation, multiple scale method.